Solve the inequality.for w. 6geqslant (w)/(3)-17 Simplify your answer as much as possible. square LL

To solve the inequality \(6 \geqslant \frac{w}{3} - 17\), follow these steps:<br /><br />1. **Isolate the term with \(w\)**:<br /> \[<br /> 6 \geqslant \frac{w}{3} - 17<br /> \]<br /> Add 17 to both sides to move the constant term on the right side to the left side:<br /> \[<br /> 6 + 17 \geqslant \frac{w}{3}<br /> \]<br /> Simplify the left side:<br /> \[<br /> 23 \geqslant \frac{w}{3}<br /> \]<br /><br />2. **Eliminate the fraction**:<br /> Multiply both sides of the inequality by 3 to get rid of the denominator:<br /> \[<br /> 23 \cdot 3 \geqslant w<br /> \]<br /> Simplify the left side:<br /> \[<br /> 69 \geqslant w<br /> \]<br /><br />3. **Rewrite the inequality**:<br /> \[<br /> w \leqslant 69<br /> \]<br /><br />So, the solution to the inequality is:<br />\[<br />w \leqslant 69<br />\]